Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:43 AM

INPUT INSTRUCTIONS

TITLE:	this is an example of a linear growth
model for a count outcome using a zero-
inflated Poisson model
DATA:	FILE IS ex6.7.dat;
VARIABLE:	NAMES ARE u11-u14;
COUNT ARE u11-u14 (i);
ANALYSIS:	INTEGRATION = 7;
MODEL:	i s | u11@0 u12@1 u13@2 u14@3;
ii si | u11#1@0 u12#1@1 u13#1@2 u14#1@3;
s@0 si@0;
OUTPUT:	TECH1 TECH8;

*** WARNING in MODEL command
All continuous latent variable covariances involving S have been fixed to 0
because the variance of S is fixed at 0.
*** WARNING in MODEL command
All continuous latent variable covariances involving SI have been fixed to 0
because the variance of SI is fixed at 0.
2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS

this is an example of a linear growth
model for a count outcome using a zero-
inflated Poisson model

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    4
Number of independent variables                                  0
Number of continuous latent variables                            4

Observed dependent variables

Count
U11         U12         U13         U14

Continuous latent variables
I           S           II          SI

Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations                                 100
Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations                                 500
Convergence criteria
Loglikelihood change                                 0.100D-02
Relative loglikelihood change                        0.100D-05
Derivative                                           0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations                                    1
M step convergence criterion                           0.100D-02
Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations                                    1
M step convergence criterion                           0.100D-02
Basis for M step termination                           ITERATION
Maximum value for logit thresholds                            15
Minimum value for logit thresholds                           -15
Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Integration Specifications
Type                                                    STANDARD
Number of integration points                                   7
Dimensions of numerical integration                            2
Cholesky                                                        ON

Input data file(s)
ex6.7.dat
Input data format  FREE

COUNT PROPORTION OF ZERO, MINIMUM AND MAXIMUM VALUES

U11         0.584         0        10
U12         0.542         0        13
U13         0.532         0         9
U14         0.414         0        11

THE MODEL ESTIMATION TERMINATED NORMALLY

MODEL FIT INFORMATION

Number of Free Parameters                        7

Loglikelihood

H0 Value                       -2778.140
H0 Scaling Correction Factor      0.9932
for MLR

Information Criteria

Akaike (AIC)                    5570.280
Bayesian (BIC)                  5599.783
(n* = (n + 2) / 24)

Chi-Square Test of Model Fit for the Count Outcomes**

Pearson Chi-Square

Value                           1914.169
Degrees of Freedom                  9973
P-Value                           1.0000

Likelihood Ratio Chi-Square

Value                            652.658
Degrees of Freedom                  9973
P-Value                           1.0000

** Of the 10000 cells in the frequency table, 19
were deleted in the calculation of chi-square due to extreme values.

** Large values were truncated at 9.

MODEL RESULTS

Two-Tailed
Estimate       S.E.  Est./S.E.    P-Value

I        |
U11                1.000      0.000    999.000    999.000
U12                1.000      0.000    999.000    999.000
U13                1.000      0.000    999.000    999.000
U14                1.000      0.000    999.000    999.000

S        |
U11                0.000      0.000    999.000    999.000
U12                1.000      0.000    999.000    999.000
U13                2.000      0.000    999.000    999.000
U14                3.000      0.000    999.000    999.000

II       |
U11#1              1.000      0.000    999.000    999.000
U12#1              1.000      0.000    999.000    999.000
U13#1              1.000      0.000    999.000    999.000
U14#1              1.000      0.000    999.000    999.000

SI       |
U11#1              0.000      0.000    999.000    999.000
U12#1              1.000      0.000    999.000    999.000
U13#1              2.000      0.000    999.000    999.000
U14#1              3.000      0.000    999.000    999.000

II       WITH
I                 -0.203      0.117     -1.732      0.083

Means
I                  0.346      0.068      5.049      0.000
S                 -0.048      0.024     -2.009      0.045
II                 0.000      0.000    999.000    999.000
SI                -0.484      0.093     -5.182      0.000

Intercepts
U11#1             -0.162      0.149     -1.088      0.277
U11                0.000      0.000    999.000    999.000
U12#1             -0.162      0.149     -1.088      0.277
U12                0.000      0.000    999.000    999.000
U13#1             -0.162      0.149     -1.088      0.277
U13                0.000      0.000    999.000    999.000
U14#1             -0.162      0.149     -1.088      0.277
U14                0.000      0.000    999.000    999.000

Variances
I                  0.386      0.060      6.487      0.000
S                  0.000      0.000    999.000    999.000
II                 1.189      0.535      2.222      0.026
SI                 0.000      0.000    999.000    999.000

QUALITY OF NUMERICAL RESULTS

Condition Number for the Information Matrix              0.251E-02
(ratio of smallest to largest eigenvalue)

TECHNICAL 1 OUTPUT

PARAMETER SPECIFICATION

NU
U11#1         U11           U12#1         U12           U13#1
________      ________      ________      ________      ________
1             0             1             0             1

NU
U13           U14#1         U14
________      ________      ________
0             1             0

LAMBDA
I             S             II            SI
________      ________      ________      ________
U11#1              0             0             0             0
U11                0             0             0             0
U12#1              0             0             0             0
U12                0             0             0             0
U13#1              0             0             0             0
U13                0             0             0             0
U14#1              0             0             0             0
U14                0             0             0             0

THETA
U11#1         U11           U12#1         U12           U13#1
________      ________      ________      ________      ________
U11#1              0
U11                0             0
U12#1              0             0             0
U12                0             0             0             0
U13#1              0             0             0             0             0
U13                0             0             0             0             0
U14#1              0             0             0             0             0
U14                0             0             0             0             0

THETA
U13           U14#1         U14
________      ________      ________
U13                0
U14#1              0             0
U14                0             0             0

ALPHA
I             S             II            SI
________      ________      ________      ________
2             3             0             4

BETA
I             S             II            SI
________      ________      ________      ________
I                  0             0             0             0
S                  0             0             0             0
II                 0             0             0             0
SI                 0             0             0             0

PSI
I             S             II            SI
________      ________      ________      ________
I                  5
S                  0             0
II                 6             0             7
SI                 0             0             0             0

STARTING VALUES

NU
U11#1         U11           U12#1         U12           U13#1
________      ________      ________      ________      ________
-0.632         0.000        -0.632         0.000        -0.632

NU
U13           U14#1         U14
________      ________      ________
0.000        -0.632         0.000

LAMBDA
I             S             II            SI
________      ________      ________      ________
U11#1          0.000         0.000         1.000         0.000
U11            1.000         0.000         0.000         0.000
U12#1          0.000         0.000         1.000         1.000
U12            1.000         1.000         0.000         0.000
U13#1          0.000         0.000         1.000         2.000
U13            1.000         2.000         0.000         0.000
U14#1          0.000         0.000         1.000         3.000
U14            1.000         3.000         0.000         0.000

THETA
U11#1         U11           U12#1         U12           U13#1
________      ________      ________      ________      ________
U11#1          0.000
U11            0.000         0.000
U12#1          0.000         0.000         0.000
U12            0.000         0.000         0.000         0.000
U13#1          0.000         0.000         0.000         0.000         0.000
U13            0.000         0.000         0.000         0.000         0.000
U14#1          0.000         0.000         0.000         0.000         0.000
U14            0.000         0.000         0.000         0.000         0.000

THETA
U13           U14#1         U14
________      ________      ________
U13            0.000
U14#1          0.000         0.000
U14            0.000         0.000         0.000

ALPHA
I             S             II            SI
________      ________      ________      ________
0.986         0.081         0.000         0.000

BETA
I             S             II            SI
________      ________      ________      ________
I              0.000         0.000         0.000         0.000
S              0.000         0.000         0.000         0.000
II             0.000         0.000         0.000         0.000
SI             0.000         0.000         0.000         0.000

PSI
I             S             II            SI
________      ________      ________      ________
I              1.951
S              0.000         0.000
II             0.000         0.000         0.050
SI             0.000         0.000         0.000         0.000

TECHNICAL 8 OUTPUT

E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
1 -0.30491433D+04    0.0000000    0.0000000  EM
2 -0.29424493D+04  106.6939988    0.0349915  FS
3 -0.28873149D+04   55.1344522    0.0187376  EM
4 -0.28574871D+04   29.8277830    0.0103306  EM
5 -0.28392288D+04   18.2582611    0.0063896  EM
6 -0.28275446D+04   11.6842638    0.0041153  EM
7 -0.28199142D+04    7.6303366    0.0026986  EM
8 -0.28146865D+04    5.2277618    0.0018539  EM
9 -0.28108371D+04    3.8493499    0.0013676  EM
10 -0.28077922D+04    3.0448845    0.0010833  EM
11 -0.28052525D+04    2.5397188    0.0009045  EM
12 -0.28030643D+04    2.1881692    0.0007800  EM
13 -0.28011486D+04    1.9156982    0.0006834  EM
14 -0.27994638D+04    1.6848284    0.0006015  EM
15 -0.27979836D+04    1.4801574    0.0005287  EM
16 -0.27966834D+04    1.3002904    0.0004647  EM
17 -0.27955328D+04    1.1505876    0.0004114  EM
18 -0.27944964D+04    1.0363337    0.0003707  EM
19 -0.27935382D+04    0.9582793    0.0003429  EM
20 -0.27926266D+04    0.9115774    0.0003263  EM
21 -0.27917394D+04    0.8872093    0.0003177  EM
22 -0.27908651D+04    0.8743166    0.0003132  EM
23 -0.27900025D+04    0.8625176    0.0003091  EM
24 -0.27891585D+04    0.8440035    0.0003025  EM
25 -0.27883434D+04    0.8150898    0.0002922  EM
26 -0.27875669D+04    0.7765124    0.0002785  EM
27 -0.27868348D+04    0.7321198    0.0002626  EM
28 -0.27861482D+04    0.6866175    0.0002464  EM
29 -0.27855046D+04    0.6435859    0.0002310  EM
30 -0.27849000D+04    0.6045825    0.0002170  EM
31 -0.27843307D+04    0.5693540    0.0002044  EM
32 -0.27837940D+04    0.5366709    0.0001927  EM
33 -0.27832888D+04    0.5052166    0.0001815  EM
34 -0.27828146D+04    0.4741518    0.0001704  EM
35 -0.27823714D+04    0.4432582    0.0001593  EM
36 -0.27819586D+04    0.4127774    0.0001484  EM
37 -0.27815755D+04    0.3831379    0.0001377  EM
38 -0.27812207D+04    0.3547200    0.0001275  EM
39 -0.27808930D+04    0.3277289    0.0001178  EM
40 -0.27805908D+04    0.3021724    0.0001087  EM
41 -0.27803129D+04    0.2779115    0.0000999  EM
42 -0.27800582D+04    0.2547432    0.0000916  EM
43 -0.27798257D+04    0.2324804    0.0000836  EM
44 -0.27796147D+04    0.2110097    0.0000759  EM
45 -0.27783378D+04    1.2768611    0.0004594  FS
46 -0.27781471D+04    0.1907271    0.0000686  FS
47 -0.27781386D+04    0.0085245    0.0000031  FS
48 -0.27781402D+04   -0.0015802   -0.0000006  EM

Beginning Time:  04:43:17
Ending Time:  04:43:18
Elapsed Time:  00:00:01

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